SOLUTION: A sphere and a cone have the same radius. The volume of the cone equals the surface area of the sphere. If both of those statements are true, what would the height of the cone have
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Question 143388: A sphere and a cone have the same radius. The volume of the cone equals the surface area of the sphere. If both of those statements are true, what would the height of the cone have to be. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A sphere and a cone have the same radius. The volume of the cone equals the surface area of the sphere. If both of those statements are true, what would the height of the cone have to be.
:
Vol of cone: V =
Surface Area of sphere: SA =
:
V = SA
: =
Divide both sides by and you have: = 4
Multiply both sides by 3 and you have:
:
h = 12
:
:
Interesting that this is true for any radius:
